Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"singularity theory"”.
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G-Frobenius manifolds
… commutative Frobenius manifold, we develop the theory of G-braided spaces. These are defined as G-graded G-modules with certain braided-commutative "rings of functions", generalizing the commutative rings of power series on ordinary vector spaces. As the genus zero part of any ordinary …
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Topics in applied topology
… 1-parameter persistent homology offers a mature theory with well-defined invariants like persistence diagrams, many real-world phenomena are inherently characterized by multiple interacting parameters. On the theoretical front, this thesis investigates biparameter persistent homology, a more …
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Nonlinear resonance and excitability in interconnected systems
… equilibrium dynamics there is a well-developed theory that can account for robustness and optimality in this process, we still lack a corresponding methodology for nonequilibrium dynamics and in particular oscillatory behaviours. With the aim of fostering such a theory, this thesis studies two …
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Invariance of Knot Lattice Homology and Homotopy
<p>Links of singularity and generalized algebraic links are ways of constructing three-manifolds and smooth links inside them from potentially singular complex algebraic surfaces and complex curves inside them. We prove that knot lattice homology is an invariant of the smooth knot type of a …
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Geometric Theory of Parshin Residues
… top-forms on algebraic varieties. Parshin's theory is a generalization of the classical one-dimensional residue theory. The main difference between the Parshin's definition and the one-dimensional case is that in higher dimensions one computes the residue not at a point but at a complete flag …